Direct Addressing Mode Example
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Introduction to Direct Addressing Mode
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Today we are discussing direct addressing mode. Can anyone explain what is meant by addressing in computer architecture?
Is it about how we access or point to specific data in memory?
Correct! Addressing refers to how the CPU accesses data in memory. In direct addressing mode, we use registers to specify the address of the data directly.
Can you give an example?
Certainly! If we have a register `R1` with a value of 1, it can point us to the first element of an array. We calculate by adding `R1` to a specified offset.
What happens to `R5` then?
Great question! `R5` is used to accumulate values — initially reset to zero and then updated based on computations.
Let's summarize: Direct addressing uses registers to fetch data directly from specific memory locations.
Understanding the Process
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Now let's outline the steps for direct addressing. Can someone remind me how we determine the memory address?
By adding the value in the register to a certain offset, right?
Exactly! For example, if `R1` is 1, the effective address becomes `1 + 1 = 2`, which leads us to the second memory location.
And what is the significance of the values in the array?
The values in the array will be fetched using the calculated address. They will add to `R5` to perform cumulative operations.
Remember, as we increment `R1`, we access subsequent elements of the array sequentially.
To recap, we compute effective addresses by using register values in direct addressing, significantly simplifying operations.
Exploring Multiple Word Instructions
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Next, let's discuss multiple word instructions. Why do you think these exist?
I think it’s because sometimes, the opcode and operands need more space than what one word can provide.
Exactly! In this section, we discussed that 8-bit instructions have limitations in representing larger data.
And how does that affect the program counter?
Good point! If an instruction spans multiple words, the program counter must jump by more than 1 after executing it, affecting instruction flow.
So, remember: understanding multiple word instructions helps us manage complexities in data processing efficiently.
Address Calculation Example
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Let's put together all we learned for an example. If `R1` is 1, and we want the memory at `R1 + 1`, what do we get?
We get address 2 which contains the second element of the array.
And if `R5` is 0, what happens when we add the value of that address to it?
It updates `R5` by adding the value from memory at that address.
Thus, through direct addressing, we maintain a systematic way to access array locations and perform computations.
In summary for all sessions today, direct addressing mode is essential for efficient data access and manipulation.
Introduction & Overview
Read summaries of the section's main ideas at different levels of detail.
Quick Overview
Standard
In this section, we delve into the mechanisms of direct addressing mode, where registers are utilized to point to specific memory locations for data retrieval and arithmetic operations. It outlines a simple example depicting how values stored in registers can contribute to the effective memory addresses used during computation.
Detailed
Detailed Summary
In this section, we explore the direct addressing mode used in computer architecture. Specifically, the instruction format involves using registers, such as R1 and R5, to access memory effectively. Initially, R1 holds the value of 1, while R5 is reset to 0. The effective memory address is derived by calculating the value of R1 + 1, leading us to access the first element of an array.
The process is as follows:
1. Initialization: R1 starts at 1, and R5 is reset to 0.
2. Address Calculation: The memory location is determined by adding the value in R1 with a constant (1 in this example).
3. Fetching Data: The value stored at the calculated memory address is then fetched and added to the current value of R5.
4. Incrementing: After each operation, R1 is incremented to point to the next element in the array for subsequent additions.
The section emphasizes that direct addressing allows efficient data manipulation even with complex computations, providing basis for further discussions on addressing modes, including multiple word instructions and indirect addressing.
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Understanding the Registers and Initial Values
Chapter 1 of 4
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Chapter Content
In this case register 𝑅5 will be 𝑅5 plus the content of the memory location. The memory location is calculated as content of 𝑅1 + 1. Initially, 𝑅1 is 1 and 𝑅5 is 0.
Detailed Explanation
Here, we are discussing how data is manipulated in registers. Register 𝑅5 starts at 0, and the value we want to add comes from the memory location defined by the contents of register 𝑅1 plus 1. If 𝑅1 is initially set to 1, the effective memory location for our operation is 2. So, we take the value at memory location 2, add it to the current value in 𝑅5 (which is 0), and then store this new sum back into 𝑅5.
Examples & Analogies
Think of 𝑅5 as a savings account with a balance of $0. You're reading a bank statement (the memory) that indicates you've received a payment (the value at memory location 2). When you notice you've earned $50 from that payment, you add that $50 to your account balance. Now, your account shows $50 instead of $0.
Adding Values from Memory
Chapter 2 of 4
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Chapter Content
The instruction takes the address 1 and adds it to the content of 𝑅1. Initially, both 𝑅1 and 𝑅2 have values of 0. 0 + 1 will address the first content of the memory location.
Detailed Explanation
Following the previous setup, we increment the value in register 𝑅1 by 1, which allows us to access the memory location effectively. Each step adds clarity: incrementing 𝑅1 gives us access to a new value in memory. When we first look up memory location 1, we begin our arithmetic operations.
Examples & Analogies
Imagine you're a librarian who starts at the front desk (memory location 1), but to find the next book to return, you need to start counting from there. Each increment means going to the next shelf where the next book is located, which aligns with incrementally accessing each value in the register system.
Continual Index and Value Manipulation
Chapter 3 of 4
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Chapter Content
After addressing memory location 1 and obtaining its value, this new value will be added to 𝑅5 and stored in it. The process continues by increasing the index gradually.
Detailed Explanation
As we repeat this operation, we keep adding the values from successive memory locations to 𝑅5. Each step involves accessing a new location based on the current value of 𝑅1, pulling in a fresh data point from memory.
Examples & Analogies
Envision collecting stamps from different places. Starting from your first stamp, each time you get a new one, you add it to your collection. By continuously receiving new stamps (values from memory), your collection grows (the value in 𝑅5 increases).
Addressing Modes and Examples
Chapter 4 of 4
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Chapter Content
This is a simple example of an index addressing mode, which is a displacement addressing mode where 𝑅1 acts as the index register.
Detailed Explanation
In this context, the mentioning of an index addressing mode means that instead of directly pointing to a fixed memory location, we're using a variable that changes (the contents of 𝑅1). This allows for more dynamic access to data stored in memory.
Examples & Analogies
Picture a recipe book. Instead of always beginning from the first recipe, you're using a sticky note (𝑅1) that tells you where the last delicious recipe was. Each time you complete a recipe, the sticky note gets moved to the next one, enabling you to navigate through your book efficiently.
Key Concepts
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Direct Addressing: Direct addressing mode allows direct access to memory locations using register values.
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Registers: Registers are limited storage locations within the CPU used for storing values temporarily.
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Effective Address Calculation: The effective address is calculated by manipulating values from registers.
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Incrementing Registers: Registers can be incremented to access subsequent memory locations sequentially.
Examples & Applications
If R1 = 1, the effective address for accessing an array element can be calculated as R1 + 1 = 2, accessing the second element.
When the value at memory location 2 is fetched and added to R5 which originally is 0, R5 will become the value of the second array element.
Memory Aids
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Rhymes
In memory's embrace, registers race, fetch and compute, make data's place.
Stories
Imagine a librarian (the CPU) that directly points to books (memory locations) using the catalog (registers), avoiding unnecessary detours.
Memory Tools
RAGE! (Registers Access Greater Efficiency) reminds how registers enhance memory access.
Acronyms
DARM (Direct Addressing Registers Memory) helps remember how direct addressing operates.
Flash Cards
Glossary
- Direct Addressing Mode
A mode where the operand's address is directly specified in the instruction.
- Register
A small amount of storage available directly in the CPU for quick data retrieval and storage.
- Effective Address
The address calculated from registers and offsets to access memory.
- Accumulator
A register used to store intermediate results of arithmetic and logic operations.
- Opcode
An operation code that specifies the kind of operation to be performed in an instruction.
- Memory Location
A specific address in memory where data or instructions are stored.
- Array
A collection of items stored at contiguous memory locations.
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